My experience is not quite the same but thought I would share since I view my SB Touch as "mini-computer".
When I first got my SB Touch which used a switching type wall wart, I plugged it to my Richard Gray thinking that all recommendations of using a linear power supply would be mute since the RG conditioner would "clean" things out. In my setup, it did not. I would still her intermittent clicking from the wall wart.
In my setup I also use a wireless bridge that I have my SB Touch connected to. I haven't tried this yet, but SoundCheck from the SB forums recommends replacing the switching wall wart with a linear supply also. In his findings, it makes a difference. So in your question, it could make a difference, but maybe replacing the cheap wall warts might have a bigger impact first and the conditioner will probably just refine it more. Just my guess.
When I first got my SB Touch which used a switching type wall wart, I plugged it to my Richard Gray thinking that all recommendations of using a linear power supply would be mute since the RG conditioner would "clean" things out. In my setup, it did not. I would still her intermittent clicking from the wall wart.
In my setup I also use a wireless bridge that I have my SB Touch connected to. I haven't tried this yet, but SoundCheck from the SB forums recommends replacing the switching wall wart with a linear supply also. In his findings, it makes a difference. So in your question, it could make a difference, but maybe replacing the cheap wall warts might have a bigger impact first and the conditioner will probably just refine it more. Just my guess.